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Szego's Theorem for polynomials orthogonal with respect to varying measures

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1329)

Keywords

  • Compact Subset
  • Orthogonal Polynomial
  • Borel Measure
  • Convergent Subsequence
  • Positive Borel Measure

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References

  1. Carleman,T., Sur les fonctions quasianalytiques, Paris, 1926.

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  2. Grenander, U., Szego, G., Toeplitz Forms and their Applications, Univ. of California Press, Berkeley-Los Angeles, 1958.

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  3. López, G., Conditions for convergence of multipoint Padé approximants for functions of Stieltjes type, Mat. Sb. 107(149), 69–83, 1978; Eng. translation in Math. USSR Sb. 35, 363–376, 1979.

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  4. López, G., On the convergence of Pade approximants for meromorphic functions of Stieltjes type, Mat. Sb. 111(153), 308–316, 1980; Eng. translation in Math. USSR Sb. 38, 281–288, 1981.

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  5. López, G., On the asymptotics of orthogonal polynomials and the convergence of multipoint Pade approximants, Mat. Sb. 128(170), 216–229, 1985; to appear translated in Math. USSR Sb.

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  6. López,G., Asymptotics of polynomials orthogonal with respect to varying measures, (submitted to Const. Approx. Theory).

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  7. López,G., Unified approach to asymptotics of sequences of orthogonal polynomials on finite and infinite intervals. (submitted to Mat. Sb.).

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  8. Szego,G., Orthogonal Polynomials, Coll. Pub. XX, Providence, R.I..

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© 1988 Springer-Verlag

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López, G. (1988). Szego's Theorem for polynomials orthogonal with respect to varying measures. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083365

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  • DOI: https://doi.org/10.1007/BFb0083365

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  • Online ISBN: 978-3-540-39295-8

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